SLIPM - MAPLE Programm for Numerical Solution of Sturm-Liouville Partial Problem with the Help of the Continuous Analogue of Newtons Method

I V Puzynin; Пузынин Игорь Викторович; T P Puzynina; Пузынина Таисия Петровна; V T Thach; Тхак Во Чонг

SLIPM - MAPLE Programm for Numerical Solution of Sturm-Liouville Partial Problem with the Help of the Continuous Analogue of Newtons Method

Authors: Puzynin IV¹, Puzynina TP¹, Thach VT¹
Affiliations:
1. Joint Institute for Nuclear Research
Issue: No 2.2 (2010)
Pages: 90-98
Section: Articles
URL: https://journals.rudn.ru/miph/article/view/8297

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Abstract

A computer program SLIPM (Sturm-Liouville Problem in MAPLE) has been designed in the language of computer algebras MAPLE. It is intended for the numerical solution of Sturm-Liouville partial problem with the help of the continuous analogue of Newtons method, i.e., for calculating the eigenvalue of a linear second-order diﬀerential operator and a corresponding eigenfunction satisfying homogeneous boundary conditions. SLIPM is the development of the computer codes SLIP1 and SLIPH4 written in the Fortran language; it is added by a new procedure of calculating an initial approach to the solution and by new ways of calculating the initial value of the iterative parameter τ0.

Keywords

MAPLE, computational mathematics, continuous analogue of Newton's method, computer algebras system, MAPLE

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Vol 31, No 4 (2023)

SLIPM - MAPLE Programm for Numerical Solution of Sturm-Liouville Partial Problem with the Help of the Continuous Analogue of Newtons Method

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Abstract

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About the authors

I V Puzynin

T P Puzynina

V T Thach

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